| Absolute Stability Results in Infinite Dimensions (2007) | |||||||||||||||||
Abstract | |||||||||||||||||
| We derive absolute stability results of Popov and circle-criterion type for in nite-dimensional systems in an input-output setting. Our results apply to feedback systems where the linear part is the series interconnection of an L -stable (for p = 2; 1) linear system and an integrator and the nonlinearity satis es a sector condition which in particular allows for saturation and deadzone eects. We use the input-output theory developed to derive state-space results on absolute stability applying to feedback systems where the linear part is the series interconnection of an exponentially stable well-posed in nite-dimensional system and an integrator. | |||||||||||||||||
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